Echoing and scaling in Einstein-Yang-Mills critical collapse
Echoing and scaling in Einstein-Yang-Mills critical collapse
复制标题
爱因斯坦-杨-米尔斯临界坍缩中的回声和缩放
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
C. Gundlach
中科院分区：
文献类型：
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作者：
C. Gundlach
通过将临界解及其扰动构造为特征值问题，我们证实了球面Yang-Mills场引力坍缩中回声和质量标度的最新数值结果。由于场方程不是尺度不变的，所以Yang-Mills临界解是渐近的，而不是完全自相似的，但是处理实标量场离散自相似的方法是可以推广的。我们发现黑洞质量的响应周期为0.0.73784±0.00002，黑洞质量的临界指数为0.1964±0.0007。
We confirm recent numerical results of echoing and mass scaling in the gravitational collapse of a spherical Yang-Mills field by constructing the critical solution and its perturbations as an eigenvalue problem. Because the field equations are not scale invariant, the Yang-Mills critical solution is asymptotically, rather than exactly, self-similar, but the methods for dealing with discrete self-similarity developed for the real scalar field can be generalized. We find an echoing period ?=0.73784±0.00002 and a critical exponent for the black hole mass ?=0.1964±0.0007.